Let $L$ be a positive definite lattice. Then we have different bounds for the norm of the minimal vector of $L$.
But if $L$ is indefinite of determinant $\det(L)=d$ and rank $r$, does it exists a bound $M$, depending only on $d$ and $r$, on the minimum of $|\langle v,v \rangle|$ for $v\in L$?